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Chapter 12: Q1. (page 800)

What are the excluded values of the variable in the expression x2−x−12x2−x−2?

Short Answer

Expert verified

Excluded values of the variable in the expression are−1 and 2.

Step by step solution

01

Step 1. Exclude the values.

Exclude the values for whichx2−x−2 equals 0.

x2−x−2=0(x+1)(x−2)=0

02

Step 2. Zero product property.

Apply zero product property to above equation.

x+1=0orx−2=0x=−1x=2

03

Step 3. Write a conclusion.

Division by zero is undefined. The valuesx=−1 and x=2, results in zero of the denominator of an original expression. Therefore,x=−1 andx=2 are excluded values.

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